Details

analyze55.0ms (3.9%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
25%	74.9%	0.1%	4
43.7%	56.2%	0.1%	5
65.6%	34.3%	0.1%	6
76.5%	23.4%	0.1%	7
82%	18%	0.1%	8
87.8%	12.1%	0.1%	9
90.7%	9.2%	0.1%	10
93.8%	6.1%	0.1%	11
95.3%	4.6%	0.1%	12
96.8%	3.1%	0.1%	13
97.6%	2.3%	0.1%	14

Compiler

Compiled 8 to 5 computations (37.5% saved)

sample656.0ms (46.1%)

Results

629.0ms

8256×

body

128

valid

Compiler

Compiled 23 to 14 computations (39.1% saved)

simplify6.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

1×	`+-commutative_binary64`

Counts

1 → 2

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	7
1	6	7
2	6	7

prune2.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	1	1	2
Fresh	0	1	1
Picked	0	0	0
Done	0	0	0
Total	1	2	3

Error

0.0b

Counts

3 → 1

Alt Table

Status	Error	Program
▶	0.0b	(/.f64 x (+.f64 y x))

Compiler

Compiled 26 to 14 computations (46.2% saved)

localize3.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 x (+.f64 y x))

series8.0ms (0.6%)

Counts

1 → 24

Calls

1 calls:

8.0ms

(/.f64 x (+.f64 y x))

rewrite5.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

18×	`*-un-lft-identity_binary64`
12×	`times-frac_binary64`
10×	`add-sqr-sqrt_binary64`
10×	`add-cube-cbrt_binary64`
4×	`associate-/r*_binary64`

Counts

1 → 35

Calls

1 calls:

3.0ms

(/.f64 x (+.f64 y x))

simplify42.0ms (3%)

Algorithm

1×	egg-herbie

Rules

614×	`fma-def_binary64`
547×	`associate-/r*_binary64`
430×	`associate-/l/_binary64`
325×	`associate-/r/_binary64`
276×	`cancel-sign-sub-inv_binary64`

Counts

59 → 68

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	84	914
1	184	884
2	477	833
3	1577	791
4	4946	791

prune33.0ms (2.3%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	65	3	68
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	65	4	69

Error

Counts

69 → 4

Alt Table

Status	Error	Program
✓	0.0b	(/.f64 x (+.f64 y x))
	0.5b	(/.f64 1 (/.f64 (+.f64 y x) x))
▶	0.0b	(log1p.f64 (expm1.f64 (/.f64 x (+.f64 y x))))
	33.0b	(-.f64 1 (/.f64 y x))

Compiler

Compiled 899 to 300 computations (66.6% saved)

localize5.0ms (0.4%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(log1p.f64 (expm1.f64 (/.f64 x (+.f64 y x))))
	0.0b	(/.f64 x (+.f64 y x))
✓	0.5b	(expm1.f64 (/.f64 x (+.f64 y x)))

series27.0ms (1.9%)

Counts

2 → 48

Calls

2 calls:

19.0ms	(expm1.f64 (/.f64 x (+.f64 y x)))
8.0ms	(log1p.f64 (expm1.f64 (/.f64 x (+.f64 y x))))

rewrite1.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

3×	`log1p-expm1-u_binary64`
2×	`*-un-lft-identity_binary64`
2×	`add-sqr-sqrt_binary64`
2×	`add-cube-cbrt_binary64`
2×	`add-cbrt-cube_binary64`

Counts

2 → 22

Calls

2 calls:

0.0ms	(expm1.f64 (/.f64 x (+.f64 y x)))
0.0ms	(log1p.f64 (expm1.f64 (/.f64 x (+.f64 y x))))

simplify70.0ms (4.9%)

Algorithm

1×	egg-herbie

Rules

905×	`fma-neg_binary64`
807×	`cancel-sign-sub-inv_binary64`
280×	`neg-mul-1_binary64`
245×	`times-frac_binary64`
201×	`distribute-neg-frac_binary64`

Counts

70 → 65

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	84	1322
1	199	1258
2	566	1144
3	2433	1090
4	4211	1078
5	4991	1078

prune66.0ms (4.6%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	133	0	133
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	133	4	137

Error

Counts

137 → 4

Alt Table

Status	Error	Program
✓	0.0b	(/.f64 x (+.f64 y x))
▶	0.5b	(/.f64 1 (/.f64 (+.f64 y x) x))
✓	0.0b	(log1p.f64 (expm1.f64 (/.f64 x (+.f64 y x))))
	33.0b	(-.f64 1 (/.f64 y x))

Compiler

Compiled 1894 to 751 computations (60.3% saved)

localize4.0ms (0.3%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 (+.f64 y x) x)
✓	0.5b	(/.f64 1 (/.f64 (+.f64 y x) x))

series13.0ms (0.9%)

Counts

2 → 48

Calls

2 calls:

8.0ms	(/.f64 1 (/.f64 (+.f64 y x) x))
4.0ms	(/.f64 (+.f64 y x) x)

rewrite21.0ms (1.5%)

Algorithm

1×	rewrite-expression-head

Rules

108×	`times-frac_binary64`
92×	`*-un-lft-identity_binary64`
60×	`add-sqr-sqrt_binary64`
60×	`add-cube-cbrt_binary64`
19×	`associate-/r*_binary64`

Counts

2 → 125

Calls

2 calls:

6.0ms	(/.f64 1 (/.f64 (+.f64 y x) x))
4.0ms	(/.f64 (+.f64 y x) x)

simplify108.0ms (7.6%)

Algorithm

1×	egg-herbie

Rules

955×	`fma-neg_binary64`
428×	`cancel-sign-sub-inv_binary64`
325×	`distribute-rgt-in_binary64`
297×	`times-frac_binary64`
209×	`associate-/l*_binary64`

Counts

173 → 158

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	132	2656
1	278	2369
2	789	2282
3	2561	2259
4	4527	2259
5	5077	2259

prune70.0ms (4.9%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	158	0	158
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	158	4	162

Error

Counts

162 → 4

Alt Table

Status	Error	Program
✓	0.0b	(/.f64 x (+.f64 y x))
✓	0.5b	(/.f64 1 (/.f64 (+.f64 y x) x))
✓	0.0b	(log1p.f64 (expm1.f64 (/.f64 x (+.f64 y x))))
▶	33.0b	(-.f64 1 (/.f64 y x))

Compiler

Compiled 2459 to 897 computations (63.5% saved)

localize3.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 1 (/.f64 y x))

series4.0ms (0.3%)

Counts

1 → 6

Calls

1 calls:

4.0ms

(-.f64 1 (/.f64 y x))

rewrite12.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

51×	`add-sqr-sqrt_binary64`
47×	`*-un-lft-identity_binary64`
43×	`add-cube-cbrt_binary64`
39×	`prod-diff_binary64`
38×	`times-frac_binary64`

Counts

1 → 73

Calls

1 calls:

6.0ms

(-.f64 1 (/.f64 y x))

simplify88.0ms (6.2%)

Algorithm

1×	egg-herbie

Rules

1142×	`fma-def_binary64`
400×	`associate-*l/_binary64`
352×	`associate-*r/_binary64`
336×	`exp-prod_binary64`
317×	`fma-neg_binary64`

Counts

79 → 80

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	144	1075
1	364	900
2	945	666
3	3363	666
4	4151	666
5	4853	666
6	4647	666

prune47.0ms (3.3%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	80	0	80
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	80	4	84

Error

Counts

84 → 4

Alt Table

Status	Error	Program
✓	0.0b	(/.f64 x (+.f64 y x))
✓	0.5b	(/.f64 1 (/.f64 (+.f64 y x) x))
✓	0.0b	(log1p.f64 (expm1.f64 (/.f64 x (+.f64 y x))))
✓	33.0b	(-.f64 1 (/.f64 y x))

Compiler

Compiled 2080 to 747 computations (64.1% saved)

regimes28.0ms (2%)

Accuracy

Total 0.0b remaining (59.6%)

Threshold costs 0.0b (59.6%)

Counts

10 → 1

Compiler

Compiled 233 to 166 computations (28.8% saved)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

1×	`+-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	7
1	6	7
2	6	7

end43.0ms (3%)

Compiler: Compiled 46 to 29 computations (37% saved)

Details

analyze55.0ms (3.9%)

sample656.0ms (46.1%)

simplify6.0ms (0.4%)

prune2.0ms (0.1%)

localize3.0ms (0.2%)

series8.0ms (0.6%)

rewrite5.0ms (0.3%)

simplify42.0ms (3%)

prune33.0ms (2.3%)

localize5.0ms (0.4%)

series27.0ms (1.9%)

rewrite1.0ms (0.1%)

simplify70.0ms (4.9%)

prune66.0ms (4.6%)

localize4.0ms (0.3%)

series13.0ms (0.9%)

rewrite21.0ms (1.5%)

simplify108.0ms (7.6%)

prune70.0ms (4.9%)

localize3.0ms (0.2%)

series4.0ms (0.3%)

rewrite12.0ms (0.8%)

simplify88.0ms (6.2%)

prune47.0ms (3.3%)

regimes28.0ms (2%)

simplify2.0ms (0.1%)

end43.0ms (3%)

Profiling